A proposal for a new armor type

Homebrew and House Rules

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The following is a paper that has been written for a Pathfinder home brew new class of armor. Criticism and peer review of it are welcome, and if it does work as a home brew idea, perhaps it should be submitted to Paizo to be adapted officially. Again, though, that's up to all of you.

Sincerely,

Pseudonymus.

­A Proposal for a New Type of Alloyed Armor-Plate

by Pseudonymus

April 25, 2014, Please convert to the Golarion calendar

1. Introduction:

This is the scientific working for stats for a suit of plate armor made out of an Adamantine-Mithrill alloy. As it has been discovered by the Author of this paper that there are two metals, namely Adamantine and Mithrill, that have been seen by said Author only in three other universes, but has never seen an alloy made of them, despite the fact that the strengths of metal alloys being superior to pure metals alone in various cases, is known on a great number of worlds in a great many universes, it was determined that an investigation was warranted to determine what the physical characteristics would be of such an alloy, whether it would make a reasonably competitive and comparable suit of armor, and then to determine if its cost would be reasonable on the World of Golarion. The working and analysis is below.

2. Stats for current full plate armor in Pathfinder:

Full steel plate-weight of 50 lbs, hardness of 10

Adamantine-40 hp hardness of 20, full plate set of adamantine, hardness of 20, 1500+15000=16,500 gold weight of 50lbs

Mithrill-Lighter than steel, hardness of 15. Full plate=25lbs cost 10, 5000 gold

3. Physical Statistics for Steel and C­alculations of New Statistics for Adamantine and Mithrill:

Density of Steel-7.85g/cm^3.

50 lbs=22.6796 kg=22679.6 g

22679.6/7.85=2889.1210 cm^3=176.30 in^3=31.4414 in^2

Average yield strength of steel armor plate-178 ksi (kilopounds per square inch)

178 ksiX31.4414 si=5596.5692 kilopounds=hardness 10

assuming same average square inch surface area for all types of full plate armor, we can extrapolate as follows:

Mithrill-hardness 15=10+5=10+50%=5596.5692+(5596.5692X0.5)=5596.5692+2798.2846=8394.8538 kilopounds.

8394.8538 kilopounds/31.4414 si=243.74 ksi

25lbs=11.3398 kg=11339.8 g

11339.8 g/2889.1210 cm^3=3.93 g/cm^3

Density of Mithrill-3.93 g/cm^3

Average yield strength of Mithrill-243.74 ksi

11193.1384 kilopounds/31.4414 si=356 ksi

Density of Adamantine, owing to same mass and volume is identical to that of steel.

4. Calculations for the Adamantine-Mithrill Alloy and Suit of Plate Armor made from it:

The higher yield strength of Adamantine can be attributed to a combination of a triangular lattice arrangement, with shorter bonds than atoms in steel, and the higher temperatures and cooling processes they undergo being exposed to high radiation areas and the cold of the vaccuum of space.

Turning pure titanium, which has a yeild strength of 434 mpa into an alloy with 0.25% iron yields a tensile strength of 1000 mpa or 154 ksi.

Since 356 ksi is approximately 2454.5342 mpa, an adamantine-mithrill alloy, with 0.25% mithrill should have an approximate strength of 2453.5342+(1000-434)=2454.5342+566=3020.5342 mpaX0.1450377=438.0913 ksi=(438.0913-356)/356%+356=20+23.06%=20+4.6119=Hardness of 24.6118, which rounded up gives a hardness of 25.
Mass of the alloy is, via percent by weight. 7.85 g/cm^3X (0.9975X2889.1210 cm^3)=7.85 g/cm^3 X 2881.8981 cm^3=22,622.9009 g + (3.93 g/cm^3 X (0.0025X 2889.1210 cm^3)=22,622.9009 g+ (3.93 g/cm^3 X 7.2228 cm^3)=22,622.9009 g + 28.3856 g=22651.2865 g=22.6512865 kg=49.9375 lbs which rounds up to 50 lbs.

Final stats for a Adamantine-Mithrill alloy armor. 50 lbs, hardness 25.

Based on the building and r&d, a suit of plate armor made from an adamantine-mithrill alloy should run for about 25,000 gold.

5. Discussion:

6. Conclusion:

An adamantine-mithrill alloy armor can be made of roughly the same weight as both steel and adamantine armor, with a reasonably higher hardness and strength. Such armor apparently has not been used in any world where both Adamantine and Mithrill exist that the Author has traveled to. However, the reasons as to why this is the case are beyond the scope of this paper and are perhaps grounds for further study.

7. References:

Standard Pathfinder rule books were used for original stats of the armor types in terms of pricing, weight and hardness stats.

This reference gives the density of steel:

http://hypertextbook.com/facts/2004/KarenSutherland.shtml

The average yield strength for armor steel was averaged across the first four types of plate armor referenced here:

http://www.steelwarehouseplate.com/Armor-Plate.81.0.html

Google was used to convert between pounds and kilograms.

The conversion between mpa and ksi was done here:

http://www.tiniusolsen.com/resource-center/mpa-ksi.html

Google was used to convert between cubic centimeters and cubic inches. However, conversion from cubic inches to square inches was done here:

http://www.endmemo.com/cconvert/in3in2.php

Titanium alloy figures for tensile strength were of Grade 5 titanium alloy referenced here:

http://en.wikipedia.org/wiki/Titanium_alloy

And the reference for commercially pure, normal titanium was referenced here:

http://en.wikipedia.org/wiki/Titanium

Finally, this reference talks about the crystalline nature of metals and how this relates to brittleness or ductility:

http://www.scienceforums.net/topic/79549-ductile-and-brittle-metals-vs-crys tal-structure/

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One word: Damn

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Pathfinder Starfinder Roleplaying Game Subscriber

Ummm... this is a game, not The Academy for Fictious Metallurgy.

If you want to make a game proposal, give us the game mechanics. i.e. what would be the game effects that this special material would give to armor, weapons, etc.?

Not every pair of metals works out to an alloy that's superior to either separately.

These are forums, games are around the table, if he's a metallurgist, fine. Those calculations just mean he has WAY too much time on his hands. But seeing that he took the time to calculate all this means it's simply a far better finished product. One thing though, are you sure this armour works with all metal armours?

Damn, this looks awesome. Though, Adamantine is associated with Dwarves, and Mythril is associated with Elves. These races have an extremely deep-set rivalry in almost all fantasy worlds. Who would make an alloy from these materials, given that their respective master smiths are of opposing races?

Humans

76.30 in^3=31.4414 in^2 where did you get that unit conversion?

Also is it stated that adamant is an element not an alloy? If it is a new element then it is outside our current understanding of chemistry and it is premature to assume an alloy would be stronger. Same goes for mithral.

Also why would you assume triangular metal books for adamant? Such a structure would be 2 dimensional and would be easily cleaved allong that plane.

It seems more likely to me that adamant would be an iron carbon alloy which is made using a magical process to get a regular lattice of carbon nanotubes to act as structural reinforcement.

Engineer much?

Could there theoretically be a kind of bainite situation with this alloy?

I mean: how would the alloy be at holding an edge? I would hope it would be good.

Perhaps such alloys are just prohibitive in terms of heating and forging metals.

This material was used in the d20 supplement Arsenal. They called it Mithrium.